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Kay [80]
3 years ago
7

Finish the following table for the given function

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0
It is D because us the given equation all you do is plug in the x values given on the chart  
 
Masja [62]3 years ago
6 0

Answer:

D. { 9, 25, 49, 81}

Step-by-step explanation:

The given function is g(x) = x^{2}

We are given input values (x), we need to find output values g(x)

To find the output values, plug in the given input values in the given function and simplify to get the output.

<u>x(input)</u>             <u>  g(x) = x^{2} (output)</u>

<u />

3                       g(x) = 3^{2} =3*3 = 9

5                       g(x) = 5^{2} =5*5 = 25

7                        g(x) = 7^{2} =7*7 = 49

9                       g(x) = 9^{2} =9*9 = 81

Therefore, the output values are { 9, 25, 49, 81}

So, the answer is D. { 9, 25, 49, 81}

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Algebra help
Vilka [71]
To determine the correct ordered pairs which will agree with the function, we can substitute values to the function and see whether it agree with each other. We do as follows:

<span>(0,1)
</span><span> f(x)=128(0.5)^0
</span><span> f(x)=128
</span><span>
(1,64)
</span><span> f(x)=128(0.5)^1
</span>f(x) = 64  <--------CORRECT ANSWER<span>

(3,16)
</span><span> f(x)=128(0.5)^3
f(x) = 16 <--------CORRECT ANSWER
</span><span>
(8,0.5)
</span><span> f(x)=128(0.5)^8
f(x) = 1/2

Hope this answers the question. Have a nice day.</span>
5 0
3 years ago
the length of a rectangle is 3 units shorter than one -third of the width, x. Which expression represents the perimeter of the r
Mariana [72]

Answer:

A) \frac{8}{3} x - 6

Step-by-step explanation:

Let the width of the rectangle be x units.

\therefore \: length \: of \: rectangle =  \frac{1}{3} x - 3 \\ Perimeter \: of \: rectangle  = 2(l + w) \\  = 2  \bigg( \frac{1}{3} x - 3 + x \bigg)\\  = 2  \bigg( x + \frac{1}{3} x - 3 \bigg)\\  = 2  \bigg(  \frac{3x + x}{3}  - 3 \bigg)\\  = 2  \bigg(  \frac{4x}{3}  - 3 \bigg) \\  = 2  \bigg(  \frac{4x}{3}  - 3 \bigg) \\  =   \frac{2 \times 4x}{3}  -2 \times  3  \\  \purple{ \bold{{Perimeter \: of \: rectangle   =  \frac{8}{3} x - 6}}}

8 0
3 years ago
A blueprint uses a scale factor of 3 inches = 2 feet. What is the area on the blueprint of a 3,500 square foot house in inches?
lyudmila [28]

Answer:

7875 square inches

Step-by-step explanation:

4ft^2 = 2ft * 2ft

4ft^2 = 3in * 3in

4ft^2 = 9in^2

For 3,500 square foot

3,500 square foot  = x

Divide bith expressions

4/3500 = 9/x

4x = 9 * 3500

4x = 31500

x = 31500/4

x = 7875 square inches

Hence the area of the house in inches is 7875 square inches

6 0
3 years ago
What is greatest to least 7.081 , 7.81 ,7.002 , 7.14
wariber [46]
7.81 then 7.14 then 7.081 then 7.002
8 0
3 years ago
An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations
Hoochie [10]

Answer:

a) E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

b) E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".  

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).  

And the standard deviation of a random variable X is just the square root of the variance.  

Solution to the problem

Part a

We have the following distribution function:

Y        0         1         2       3

P(Y)  0.45    0.2    0.3   0.05

And we can calculate the expected value with the following formula:

E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

Part b

For this case the new expected value would be given by:

E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)

And replacing we got

E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

5 0
3 years ago
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